A Generalized Framework of Linear Multivariable Control

✍ Scribed by Liansheng Tan (Auth.)

• Publisher: Butterworth-Heinemann
• Year: 2017
• Tongue: English
• Leaves: 316
• Edition: 1st Edition
• Category: Library

✦ Synopsis

A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models.

The book supports that in H-infinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the H-infinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some non-regular cases.

This book is ideal for scholars, academics, professional engineer and students who are interested in control system theory.

✦ Table of Contents

Content:
Front Matter,CopyrightEntitled to full text1 - Introduction, Pages 1-10
2 - Mathematical preliminaries, Pages 11-37
3 - Generalized inverse of matrix and solution of linear system equation, Pages 38-50
4 - Polynomial fraction description, Pages 51-76
5 - Stability, Pages 77-103
6 - Fundamental approaches to control system analysis, Pages 104-118
7 - Determination of finite and infinite frequency structure of a rational matrix, Pages 119-140
8 - The solution of a regular PMD and the set of impulsive free initial conditions, Pages 141-159
9 - A refined resolvent decomposition of a regular polynomial matrix and application to the solution of regular PMDs, Pages 160-189
10 - Frequency structures of generalized companion form and application to the solution of regular PMDs, Pages 190-206
11 - A generalized chain-scattering representation and its algebraic system properties, Pages 207-222
12 - Realization of behavior, Pages 223-238
13 - Related extensions to system well-posedness and internal stability, Pages 239-256
14 - Nonstandard H∞ control problem: A generalized chain-scattering representation approach, Pages 257-271
15 - Internet congestion control: A linear multivariable control look, Pages 272-292
16 - Conclusions and further research, Pages 293-298
Bibliography, Pages 299-307
Index, Pages 308-313

✦ Subjects

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